| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C33⋊1(C22⋊C4) = D6⋊(C32⋊C4) | φ: C22⋊C4/C2 → C2×C4 ⊆ Aut C33 | 24 | 8+ | C3^3:1(C2^2:C4) | 432,568 |
| C33⋊2(C22⋊C4) = C3×S32⋊C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C33 | 24 | 4 | C3^3:2(C2^2:C4) | 432,574 |
| C33⋊3(C22⋊C4) = C3⋊S3.2D12 | φ: C22⋊C4/C2 → D4 ⊆ Aut C33 | 24 | 4 | C3^3:3(C2^2:C4) | 432,579 |
| C33⋊4(C22⋊C4) = S32⋊Dic3 | φ: C22⋊C4/C2 → D4 ⊆ Aut C33 | 24 | 4 | C3^3:4(C2^2:C4) | 432,580 |
| C33⋊5(C22⋊C4) = (C3×C6).8D12 | φ: C22⋊C4/C2 → D4 ⊆ Aut C33 | 24 | 8+ | C3^3:5(C2^2:C4) | 432,586 |
| C33⋊6(C22⋊C4) = C3×C62⋊C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C33 | 24 | 4 | C3^3:6(C2^2:C4) | 432,634 |
| C33⋊7(C22⋊C4) = C62⋊11Dic3 | φ: C22⋊C4/C22 → C4 ⊆ Aut C33 | 24 | 4 | C3^3:7(C2^2:C4) | 432,641 |
| C33⋊8(C22⋊C4) = C3×D6⋊Dic3 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:8(C2^2:C4) | 432,426 |
| C33⋊9(C22⋊C4) = C3×C6.D12 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:9(C2^2:C4) | 432,427 |
| C33⋊10(C22⋊C4) = C62.77D6 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 144 | | C3^3:10(C2^2:C4) | 432,449 |
| C33⋊11(C22⋊C4) = C62.78D6 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 144 | | C3^3:11(C2^2:C4) | 432,450 |
| C33⋊12(C22⋊C4) = C62.79D6 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 72 | | C3^3:12(C2^2:C4) | 432,451 |
| C33⋊13(C22⋊C4) = C62.84D6 | φ: C22⋊C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:13(C2^2:C4) | 432,461 |
| C33⋊14(C22⋊C4) = C32×D6⋊C4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C33 | 144 | | C3^3:14(C2^2:C4) | 432,474 |
| C33⋊15(C22⋊C4) = C3×C6.11D12 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C33 | 144 | | C3^3:15(C2^2:C4) | 432,490 |
| C33⋊16(C22⋊C4) = C62.148D6 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C33 | 216 | | C3^3:16(C2^2:C4) | 432,506 |
| C33⋊17(C22⋊C4) = C32×C6.D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C33 | 72 | | C3^3:17(C2^2:C4) | 432,479 |
| C33⋊18(C22⋊C4) = C3×C62⋊5C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C33 | 72 | | C3^3:18(C2^2:C4) | 432,495 |
| C33⋊19(C22⋊C4) = C63.C2 | φ: C22⋊C4/C23 → C2 ⊆ Aut C33 | 216 | | C3^3:19(C2^2:C4) | 432,511 |